# Overview

Atlassian SourceTree is a free Git and Mercurial client for Windows.

Atlassian SourceTree is a free Git and Mercurial client for Mac.

## Binary Tree Package

## Abstract

This package provides Binary- RedBlack- and AVL-Trees written in Python and Cython/C.

This Classes are much slower than the built-in *dict* class, but all
iterators/generators yielding data in sorted key order. Trees can be
uses as drop in replacement for *dicts* in most cases.

### Source of Algorithms

AVL- and RBTree algorithms taken from Julienne Walker: http://eternallyconfuzzled.com/jsw_home.aspx

### Trees written in Python

BinaryTree-- unbalanced binary treeAVLTree-- balanced AVL-TreeRBTree-- balanced Red-Black-Tree

### Trees written with C-Functions and Cython as wrapper

FastBinaryTree-- unbalanced binary treeFastAVLTree-- balanced AVL-TreeFastRBTree-- balanced Red-Black-Tree

All trees provides the same API, the pickle protocol is supported.

Cython-Trees have C-structs as tree-nodes and C-functions for low level operations:

- insert
- remove
- get_value
- min_item
- max_item
- prev_item
- succ_item
- floor_item
- ceiling_item

#### Constructor

- Tree() -> new empty tree;
- Tree(mapping) -> new tree initialized from a mapping (requires only an items() method)
- Tree(seq) -> new tree initialized from seq [(k1, v1), (k2, v2), ... (kn, vn)]

#### Methods

- __contains__(k) -> True if T has a key k, else False, O(log(n))
- __delitem__(y) <==> del T[y], del[s:e], O(log(n))
- __getitem__(y) <==> T[y], T[s:e], O(log(n))
- __iter__() <==> iter(T)
- __len__() <==> len(T), O(1)
- __max__() <==> max(T), get max item (k,v) of T, O(log(n))
- __min__() <==> min(T), get min item (k,v) of T, O(log(n))
- __and__(other) <==> T & other, intersection
- __or__(other) <==> T | other, union
- __sub__(other) <==> T - other, difference
- __xor__(other) <==> T ^ other, symmetric_difference
- __repr__() <==> repr(T)
- __setitem__(k, v) <==> T[k] = v, O(log(n))
- clear() -> None, remove all items from T, O(n)
- copy() -> a shallow copy of T, O(n*log(n))
- discard(k) -> None, remove k from T, if k is present, O(log(n))
- get(k[,d]) -> T[k] if k in T, else d, O(log(n))
- is_empty() -> True if len(T) == 0, O(1)
- items([reverse]) -> generator for (k, v) items of T, O(n)
- keys([reverse]) -> generator for keys of T, O(n)
- values([reverse]) -> generator for values of T, O(n)
- pop(k[,d]) -> v, remove specified key and return the corresponding value, O(log(n))
- pop_item() -> (k, v), remove and return some (key, value) pair as a 2-tuple, O(log(n)) (synonym popitem() exist)
- set_default(k[,d]) -> value, T.get(k, d), also set T[k]=d if k not in T, O(log(n)) (synonym setdefault() exist)
- update(E) -> None. Update T from dict/iterable E, O(E*log(n))
- foreach(f, [order]) -> visit all nodes of tree (0 = 'inorder', -1 = 'preorder' or +1 = 'postorder') and call f(k, v) for each node, O(n)
- iter_items(s, e[, reverse]) -> generator for (k, v) items of T for s <= key < e, O(n)
- remove_items(keys) -> None, remove items by keys, O(n)

#### slicing by keys

- item_slice(s, e[, reverse]) -> generator for (k, v) items of T for s <= key < e, O(n), synonym for iter_items(...)
- key_slice(s, e[, reverse]) -> generator for keys of T for s <= key < e, O(n)
- value_slice(s, e[, reverse]) -> generator for values of T for s <= key < e, O(n)
- T[s:e] -> TreeSlice object, with keys in range s <= key < e, O(n)
- del T[s:e] -> remove items by key slicing, for s <= key < e, O(n)
start/end parameter:

- if 's' is None or T[:e] TreeSlice/iterator starts with value of min_key();
- if 'e' is None or T[s:] TreeSlice/iterator ends with value of max_key();
- T[:] is a TreeSlice which represents the whole tree;
TreeSlice is a tree wrapper with range check and contains no references to objects, deleting objects in the associated tree also deletes the object in the TreeSlice.

TreeSlice[k] -> get value for key k, raises KeyError if k not exists in range s:e

- TreeSlice[s1:e1] -> TreeSlice object, with keys in range s1 <= key < e1

- new lower bound is max(s, s1)
- new upper bound is min(e, e1)
TreeSlice methods:

- items() -> generator for (k, v) items of T, O(n)
- keys() -> generator for keys of T, O(n)
- values() -> generator for values of T, O(n)
- __iter__ <==> keys()
- __repr__ <==> repr(T)
- __contains__(key)-> True if TreeSlice has a key k, else False, O(log(n))

#### prev/succ operations

- prev_item(key) -> get (k, v) pair, where k is predecessor to key, O(log(n))
- prev_key(key) -> k, get the predecessor of key, O(log(n))
- succ_item(key) -> get (k,v) pair as a 2-tuple, where k is successor to key, O(log(n))
- succ_key(key) -> k, get the successor of key, O(log(n))
- floor_item(key) -> get (k, v) pair, where k is the greatest key less than or equal to key, O(log(n))
- floor_key(key) -> k, get the greatest key less than or equal to key, O(log(n))
- ceiling_item(key) -> get (k, v) pair, where k is the smallest key greater than or equal to key, O(log(n))
- ceiling_key(key) -> k, get the smallest key greater than or equal to key, O(log(n))

#### Heap methods

- max_item() -> get largest (key, value) pair of T, O(log(n))
- max_key() -> get largest key of T, O(log(n))
- min_item() -> get smallest (key, value) pair of T, O(log(n))
- min_key() -> get smallest key of T, O(log(n))
- pop_min() -> (k, v), remove item with minimum key, O(log(n))
- pop_max() -> (k, v), remove item with maximum key, O(log(n))
- nlargest(i[,pop]) -> get list of i largest items (k, v), O(i*log(n))
- nsmallest(i[,pop]) -> get list of i smallest items (k, v), O(i*log(n))

#### Set methods (using frozenset)

- intersection(t1, t2, ...) -> Tree with keys
commonto all trees- union(t1, t2, ...) -> Tree with keys from
eithertrees- difference(t1, t2, ...) -> Tree with keys in T but not any of t1, t2, ...
- symmetric_difference(t1) -> Tree with keys in either T and t1 but not both
- is_subset(S) -> True if every element in T is in S (synonym issubset() exist)
- is_superset(S) -> True if every element in S is in T (synonym issuperset() exist)
- is_disjoint(S) -> True if T has a null intersection with S (synonym isdisjoint() exist)

#### Classmethods

- from_keys(S[,v]) -> New tree with keys from S and values equal to v. (synonym fromkeys() exist)

## Installation

from source:

python setup.py install

or from PyPI:

pip install bintrees

Compiling the fast Trees requires Cython and on Windows is a C-Compiler necessary (MingW works fine).

## Download Binaries for Windows

## Documentation

this README.rst

bintrees can be found on bitbucket.org at: